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Finding the Third Proportional to 242,762 and 529,992

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Solution

The third proportional to 242,762 and 529,992 is: 1,157,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,762 : 529,992 = 529,992 : x
  2. Step 2: Convert to fraction form
    242,762/529,992 = 529,992/x
  3. Step 3: Cross multiply
    242,762x = 529,992 × 529,992
  4. Step 4: Simplify right side
    242,762x = 280,891,520,064
  5. Step 5: Solve for x
    x = 280,891,520,064/242,762
  6. Step 6: Final answer
    x = 1,157,065.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.